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Finding the Third Proportional to 84,904 and 182,336

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Solution

The third proportional to 84,904 and 182,336 is: 391,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,904 : 182,336 = 182,336 : x
  2. Step 2: Convert to fraction form
    84,904/182,336 = 182,336/x
  3. Step 3: Cross multiply
    84,904x = 182,336 × 182,336
  4. Step 4: Simplify right side
    84,904x = 33,246,416,896
  5. Step 5: Solve for x
    x = 33,246,416,896/84,904
  6. Step 6: Final answer
    x = 391,576.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.